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Operational independence and operational separability in algebraic quantum mechanics

Rédei, Miklós ORCID: 0000-0001-5298-1443 (2010) Operational independence and operational separability in algebraic quantum mechanics. Foundations of Physics, 40 (9-10). pp. 1439-1449. ISSN 0015-9018

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Identification Number: 10.1007/s10701-010-9447-x

Abstract

Recently, new types of independence of a pair of C (*)- or W (*)-subalgebras (A(1,) A(2)) of a C (*)- or W (*)-algebra have been introduced: operational C (*)- and W (*)-independence (Redei and Summers, http://arxiv.org/abs/0810.5294, 2008) and operational C (*)- and W (*)-separability (Redei and Valente, How local are local operations in local quantum field theory? 2009). In this paper it is shown that operational C (*)-independence is equivalent to operational C (*)-separability and that operational W (*)-independence is equivalent to operational W (*)-separability. Specific further sub-types of both operational C (*)- and W (*)-separability and operational C (*)- and W (*)-independence are defined and the problem of characterization of the logical interdependencies of the independence notions is raised.

Item Type: Article
Official URL: http://www.springer.com/physics/history+%26+philos...
Additional Information: © 2010 Springer
Divisions: Philosophy, Logic and Scientific Method
Subjects: Q Science > QA Mathematics
Sets: Departments > Philosophy, Logic and Scientific Method
Date Deposited: 21 Oct 2010 13:40
Last Modified: 20 Jan 2020 04:05
URI: http://eprints.lse.ac.uk/id/eprint/29719

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